Question

What is the surface area of the following triangular prism?

162 yd2
126 yd2
90 yd2
96 yd2

Answer 1

Explanation:

Answer 2

`\text{The surface area of triangular prism is }96 yd^2`

Explanation:

Given the triangular prism with dimensions.

we have to find the surface area of triangular prism.

Base and height of right triangle of triangular prism are

`Base, b=4 yd`

`Height, h=9 ft=9* 0.3333...=3 yd`

`Height, H=7 yd`

The surface area of triangular prism can be calculated as

`(Base* Height)\text{of right triangle}+\text{sum of sides of triangle}* H`

`=bh+(s_1+s_2+s_3)* H`

`=(4* 3)+(3+4+5)* 7`

`=12+12* 7=12+84=96 yd^2`

`\text{hence, the surface area of triangular prism is }96 yd^2`

Option D is correct.